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Finding the Fourth Proportional to 6,093.41, 9,140.13 and 1,476.41

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Solution

The fourth proportional to 6,093.41, 9,140.13 and 1,476.41 is: 2,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.41 : 9,140.13 = 1,476.41 : x
  2. Step 2: Convert to fraction form
    6,093.41/9,140.13 = 1,476.41/x
  3. Step 3: Cross multiply
    6,093.41x = 9,140.13 × 1,476.41
  4. Step 4: Simplify right side
    6,093.41x = 13,494,533.63
  5. Step 5: Solve for x
    x = 13,494,533.63/6,093.41
  6. Step 6: Final answer
    x = 2,214.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.